<p>In this work, we explore the general high-order localized wave solutions for the Maccari system using the Kadomtsev-Petviashvili (KP) hierarchy reduction. Two types of localized wave patterns are exhibited by considering a large parameter and a large time in the solutions, respectively. The first type of large-parameter wave patterns comprises closed or open W-shaped rogue wave curves in a two-dimensional space, which are analytically predicted by the root curves of double-real-variable polynomials. These rogue wave curves emerge from a spatial plane with several fundamental lumps, reach their highest amplitude at zero time, and subsequently vanish. The second type of large-time wave patterns exhibits triangle lumps when a pure odd index vector is selected, and displays non-triangle lumps in the outer region together with possible triangle lumps in the inner region when an arbitrary index vector is fixed. These patterns are analytically predicted by the root structures of the Yablonskii-Vorob’ev polynomials and the Wronskian-Hermite polynomials. These lump patterns undergo dilation, rotation, stretching, shearing and transitions along both <i>x</i>- and <i>y</i>-directions, as time <i>t</i> increases from large negative to large positive. Our results demonstrate strong agreement between the true solutions and predicted solutions in terms of wave structures and positions.</p>